Theoretical Basis And Significance Of Variance
Of Discharge As A Bidimensional Variable In
Microirrigation Lateral Design
Author(s)
E. R. Detomini & J. A. Frizzone
Abstract
In order to support the theoretical basis and contribute to the improvement of
educational capability issues relating to irrigation systems design, this work
presents an alternative deduction for variance of the discharge as a bidimensional
and independent random variable. Then, a subsequent brief application of an
existing model is applied for statistical design of laterals in micro-irrigation. The
better manufacturing precision of emitters allows lengthening of a lateral for a
given soil slope, although this does not necessarily mean that the statistical
uniformity throughout the lateral will be more homogenous.
Keywords: error theory, statistical approach, manufacturing coefficient.
1 Introduction
In microirrigation systems, generally the longer the lateral pipeline implemented
in a sub-main unit is, the less the final cost of the designed project and hence the
overall profitability of the system is improved. In practice, two approaches may
be used to optimise the lateral length while maintaining the desirable uniformity
of applied water: hydraulic and statistical. Considering the latter, the coefficient
of variation of pressure head (CVHp) term appears in the model due to the
concept of discharge variance, where the source-point discharge is assumed to be
susceptible to oscillations in both the pressure head (H) and emitter coefficient
(K). The latter is inherent to the existing variability of emitters coming from the
Keywords
error theory, statistical approach, manufacturing coefficient
Related Book
Other papers in this volume
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